Proceedings of the AMSIMSSIAM Joint Summer Research Conference in the Mathematical Sciences on Mathematics of Phase Transitions, held at Bowdoin College, June 2430, 1984T.p. verso.

Includes bibliographies.

Inequalities for critical probabilities in percolation ; Random tubes as a model of pair correlations ; Large deviations for some infinite particle system occupation times ; Functionvalued duals for measurevalued processes and applications ; Invariance principle for reversible Markov processes with application to diffusion in the percolation regime ; Stochastic growth models: ten problems for the 80s (and 90s) ; Large deviations and statistical mechanics ; Nonergodic onedimensional media and reliable computation ; Disordered Ising ferromagnets and percolation ; The critical behavior of a class of simple interacting systems a few answers and a lot of questions ; Phase transition for a class of Markov processes on \bf N)^S ; Large deviations in subadditive processes and firstpassage percolation ; Random media and selfdiffusion of interacting particles ; A weak version of RSW theorem for the twodimensional Ising model ; Possible rates of convergence in finite range, attractive spin systems ; Firstpassage percolation and a higherdimensional generalization ; Using random matrices to give recurrence and transience criteria for random walk in a random environment ; Recent results on the movement of a tagged particle in simple exclusion ; On an inverse problem for random Schrodinger operators ; Intersections of simple random walks ; A process in a randomly fluctuating environment ; Infinite chains and clusters in onedimensional directed and undirected percolation ; On the ShannonPerezMoy theorem ; Hydrodynamics of a onedimensional nearest neighbor model ; Decay rates of Green's functions for the Schrodinger operator ; Diffusions with random coefficients ; Disjoint occurrences of events: results and conjectures ; Duality for directed site percolation Massimo Campanino ; J T Chayes and L Chayes ; J Theodore Cox and David Griffeath ; Donald A Dawson and Kenneth J Hochberg ; A De Masi P A Ferrari S Goldstein and W D Wick ; R Durrett ; Richard S Ellis ; Peter Gacs ; HO Georgii ; Lawrence Gray ; Andreas Greven ; Geoffrey Grimmett ; M Z Guo and G Papanicolaou ; Yasunari Higuchi ; Richard Holley ; Harry Kesten ; Eric S Key ; C Kipnis ; Shinichi Kotani ; Gregory F Lawler ; Neal Madras ; C M Newman and L S Schulman ; Steven Orey ; Hermann Rost and Maria Eulalia Vares ; Carolyn L Schroeder ; Scott Schumacher ; J van den Berg ; John C Wierman